Answer
See plot.
a. $(3,\frac{13\pi}{6})$
b. $(-3,\frac{7\pi}{6})$
c. $(3,-\frac{11\pi}{6})$
Work Step by Step
We can plot the point by moving to angle $\theta=\frac{\pi}{6}$ counterclockwise, and then to $r=3$ as shown in the figure.
a. We can find another representation for the same point using the given range as $(3,\frac{13\pi}{6})$
b. We can find another representation for the same point using the given range as $(-3,\frac{7\pi}{6})$
c. We can find another representation for the same point using the given range as $(3,-\frac{11\pi}{6})$
